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Geometry of quantum phases and emergent Newtonian dynamics

Anatoli Polkovnikov Boston University
October 15, 2013

PIRSA:13100083
Condensed Matter
13/14 PSI - Quantum Field Theory I - Lecture 6

Freddy Cachazo Perimeter Institute for Theoretical Physics

October 15, 2013

PIRSA:13100028
Bootstrapping the O(N) Vector Models

David Simmons-Duffin Institute for Advanced Study (IAS)
October 15, 2013

PIRSA:13100074
High Energy Physics
Including astroparticle observables in global fits to new physics scenarios

Patrick Scott McGill University
October 15, 2013

PIRSA:13100103
High Energy Physics
Hybrid quantization of the Gowdy model within loop quantum cosmology

Mercedes Martin-Benito Complutense University of Madrid
October 15, 2013

PIRSA:13100102
Astrophysics
13/14 PSI - Statistical Mechanics - Lecture 6

Anton Burkov University of Waterloo

October 15, 2013

PIRSA:13100050
13/14 PSI - Quantum Field Theory I - Lecture 5

Freddy Cachazo Perimeter Institute for Theoretical Physics

October 11, 2013

PIRSA:13100024
13/14 PSI - Statistical Mechanics - Lecture 5

Anton Burkov University of Waterloo

October 11, 2013

PIRSA:13100043
General Relativity for Cosmology - Lecture 6

Achim Kempf University of Waterloo

October 10, 2013

PIRSA:13100104
General Relativity for Cosmology - Lecture 5

Achim Kempf University of Waterloo

October 10, 2013

PIRSA:13100007
Fractional solitons on the edge of the Fractional Quantum Hall states

Paul Wiegmann University of Chicago - James Franck Institute
October 10, 2013

PIRSA:13100073
Condensed Matter
13/14 PSI - Quantum Field Theory I - Lecture 4

Freddy Cachazo Perimeter Institute for Theoretical Physics

October 10, 2013

PIRSA:13100023

Geometry of quantum phases and emergent Newtonian dynamics

Anatoli Polkovnikov Boston University
October 15, 2013

PIRSA:13100083
Condensed Matter
In the first part of this talk I will discuss how one can characterize geometry of quantum phases and phase transitions based on the Fubini-Study metric, which characterizes the distance between ground state wave-functions in the external parameter space. This metric is closely related to the Berry curvature. I will show that there are new geometric invariants based on the Euler characteristic. I will also show how one can directly measure this metric tensor in simple dynamical experiments. In the second part of the talk I will discuss emergent nature of macroscopic equations of motion (like Newton's equations) showing that they appear in the leading order of non-adiabatic expansion. I will show that the Berry curvature gives the Coriolis force and the Fubini-Study metric tensor is closely related to the inertia mass. Thus I will argue that any motion (not necessarily motion in space) is geometrical in nature.
13/14 PSI - Quantum Field Theory I - Lecture 6

Freddy Cachazo Perimeter Institute for Theoretical Physics

October 15, 2013

PIRSA:13100028
Bootstrapping the O(N) Vector Models

David Simmons-Duffin Institute for Advanced Study (IAS)
October 15, 2013

PIRSA:13100074
High Energy Physics
We study the conformal bootstrap for 3D CFTs with O(N) global symmetry. We obtain rigorous upper bounds on the scaling dimensions of the first O(N) singlet and symmetric tensor operators appearing in the \phi_i x \phi_j OPE, where \phi_i is a fundamental of O(N). Comparing these bounds to previous determinations of critical exponents in the O(N) vector models, we find strong numerical evidence that the O(N) vector models saturate the bootstrap constraints at all values of N. We also compute general lower bounds on the central charge, giving numerical predictions for the values realized in the O(N) vector models. We compare our predictions to previous computations in the 1/N expansion, finding precise agreement at large values of N.
Including astroparticle observables in global fits to new physics scenarios

Patrick Scott McGill University
October 15, 2013

PIRSA:13100103
High Energy Physics
Searches for physics beyond the standard model come in many forms, from terrestrial probes to astroparticle experiments and cosmological observations. Efforts to combine multiple search channels in 'global fits' to new physics scenarios typically consider only a subset of the available channels. Astroparticle searches in particular are usually only included in a very approximate way, if at all. In this talk I will review recent progress in including detailed gamma-ray, neutrino and CMB searches for dark matter in global fits. I will also preview some of the future developments and challenges in this field, where the applicability of global fits will move well beyond the small range of constrained supersymmetric models they have so far mostly been applied to.
Hybrid quantization of the Gowdy model within loop quantum cosmology

Mercedes Martin-Benito Complutense University of Madrid
October 15, 2013

PIRSA:13100102
Astrophysics
Loop quantum cosmology (LQC) proposes a quantization for homogeneous cosmologies which success in solving the classical singularity problem. Realistic scenarios call for the consideration of inhomogeneities. Focusing on the simplest inhomogenous cosmological model, the Gowdy model with three-torus spatial topology and linearly polarized gravitational waves, I'll describe an approach to treat inhomogeneities in the framework of loop quantum cosmology. This is a hybrid approach that combines LQC methods with Fock quantization. Furthermore, I'll discuss justified approximations that allow us to find approximate solutions to the (very complicated) Hamiltonian constraint of the model.
13/14 PSI - Statistical Mechanics - Lecture 6

Anton Burkov University of Waterloo

October 15, 2013

PIRSA:13100050
13/14 PSI - Quantum Field Theory I - Lecture 5

Freddy Cachazo Perimeter Institute for Theoretical Physics

October 11, 2013

PIRSA:13100024
13/14 PSI - Statistical Mechanics - Lecture 5

Anton Burkov University of Waterloo

October 11, 2013

PIRSA:13100043
General Relativity for Cosmology - Lecture 6

Achim Kempf University of Waterloo

October 10, 2013

PIRSA:13100104
General Relativity for Cosmology - Lecture 5

Achim Kempf University of Waterloo

October 10, 2013

PIRSA:13100007
Fractional solitons on the edge of the Fractional Quantum Hall states

Paul Wiegmann University of Chicago - James Franck Institute
October 10, 2013

PIRSA:13100073
Condensed Matter
We argue that dynamics of gapless Fractional Quantum Hall Edge states is essentially non-linear and that it features fractionally quantized solitons propagating along the edge. Observation of solitons would be a direct evidence of fractional charges. We show that the non-linear dynamics of the Laughlin's FQH state is governed by the quantum Benjamin-Ono equation.
13/14 PSI - Quantum Field Theory I - Lecture 4

Freddy Cachazo Perimeter Institute for Theoretical Physics

October 10, 2013

PIRSA:13100023

Title	Date	Collection	Type	Info
Geometry of quantum phases and emergent Newtonian dynamics	2013‑10‑15	Quantum Matter	Scientific Series	View details
13/14 PSI - Quantum Field Theory I - Lecture 6	2013‑10‑15	13/14 PSI - Quantum Field Theory I	Course	View details
Bootstrapping the O(N) Vector Models	2013‑10‑15	Quantum Fields and Strings	Scientific Series	View details
Including astroparticle observables in global fits to new physics scenarios	2013‑10‑15	Particle Physics	Scientific Series	View details
Hybrid quantization of the Gowdy model within loop quantum cosmology	2013‑10‑15	Cosmology and Gravitation	Scientific Series	View details
13/14 PSI - Statistical Mechanics - Lecture 6	2013‑10‑15	13/14 PSI - Statistical Mechanics	Course	View details
13/14 PSI - Quantum Field Theory I - Lecture 5	2013‑10‑11	13/14 PSI - Quantum Field Theory I	Course	View details
13/14 PSI - Statistical Mechanics - Lecture 5	2013‑10‑11	13/14 PSI - Statistical Mechanics	Course	View details
General Relativity for Cosmology - Lecture 6	2013‑10‑10	General Relativity for Cosmology - 2013	Course	View details
General Relativity for Cosmology - Lecture 5	2013‑10‑10	General Relativity for Cosmology - 2013	Course	View details
Fractional solitons on the edge of the Fractional Quantum Hall states	2013‑10‑10	Quantum Matter	Scientific Series	View details
13/14 PSI - Quantum Field Theory I - Lecture 4	2013‑10‑10	13/14 PSI - Quantum Field Theory I	Course	View details

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Format results

Geometry of quantum phases and emergent Newtonian dynamics

13/14 PSI - Quantum Field Theory I - Lecture 6

Bootstrapping the O(N) Vector Models

Including astroparticle observables in global fits to new physics scenarios

Hybrid quantization of the Gowdy model within loop quantum cosmology

13/14 PSI - Statistical Mechanics - Lecture 6

13/14 PSI - Quantum Field Theory I - Lecture 5

13/14 PSI - Statistical Mechanics - Lecture 5

General Relativity for Cosmology - Lecture 6

General Relativity for Cosmology - Lecture 5

Fractional solitons on the edge of the Fractional Quantum Hall states

13/14 PSI - Quantum Field Theory I - Lecture 4

Geometry of quantum phases and emergent Newtonian dynamics

13/14 PSI - Quantum Field Theory I - Lecture 6

Bootstrapping the O(N) Vector Models

Including astroparticle observables in global fits to new physics scenarios

Hybrid quantization of the Gowdy model within loop quantum cosmology

13/14 PSI - Statistical Mechanics - Lecture 6

13/14 PSI - Quantum Field Theory I - Lecture 5

13/14 PSI - Statistical Mechanics - Lecture 5

General Relativity for Cosmology - Lecture 6

General Relativity for Cosmology - Lecture 5

Fractional solitons on the edge of the Fractional Quantum Hall states

13/14 PSI - Quantum Field Theory I - Lecture 4